Chapter 8: Q29P (page 360)
Show that is NL-complete.
Short Answer
As It could take a little longer than can show output and w throughout the process, log-space was used.
Chapter 8: Q29P (page 360)
Show that is NL-complete.
As It could take a little longer than can show output and w throughout the process, log-space was used.
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Get started for freeLet is a satisfiable cnf-formula where each clause contains any number of positive literals and at most one negated literal. Furthermore, each negated literal has at most one occurrence in }. Show that is NL- complete.
a. Let are binary integers and . Show
that .
b. Let are binary integers where is an integer whose binary representation is a palindrome). (Note that the binary representation of the sum is assumed not to have leading zeros. A palindrome is a string that equals its reverse.) Show that .
Consider the following two-person version of the language that was described in Problem 7.28. Each player starts with an ordered stack of puzzle cards. The players take turns placing the cards in order in the box and may choose which side faces up. Player I wins if all hole positions are blocked in the final stack, and Player II wins if some hole position remains unblocked. To prove that the problem of determining which player has a winning strategy for a given starting configuration of the cards is PSPACE-Complete.
For each , exhibit two regular expressions, , of length , where, but where the first string on which they differ is exponentially long. In other words, must be different yet agree on all strings of length up to for some constant .
For any positive integer x, let xR be the integer whose binary representation isthe reverse of the binary representation of x. (Assume no leading in the binary representation of x.) Define the function where
a. Let .
Show
b. Let . Show.
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